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Finding the Fourth Proportional to 505.56, 761.96 and 477.30

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Solution

The fourth proportional to 505.56, 761.96 and 477.30 is: 719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.56 : 761.96 = 477.30 : x
  2. Step 2: Convert to fraction form
    505.56/761.96 = 477.30/x
  3. Step 3: Cross multiply
    505.56x = 761.96 × 477.30
  4. Step 4: Simplify right side
    505.56x = 363,680.59
  5. Step 5: Solve for x
    x = 363,680.59/505.56
  6. Step 6: Final answer
    x = 719.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.